 Hi. Welcome to the session. I am Deepika here. Let's discuss the question. Find the value of k for the following quadratic equation so that it have two equal rules. kx into x minus 2 plus 6 is equal to 0. Let's start the solution. Solution. Our given equation is kx into x minus 2 plus 6 is equal to 0. This implies kx square minus 2kx plus 6 is equal to 0. Compare above quadratic equation with ax square plus bx plus c is equal to 0. We get a is equal to k, b is equal to minus 2k and c is equal to 6. Now let us find out the discriminant. Therefore, b square minus 4ac is equal to minus 2k square minus 4 into k into 6, which is equal to 4k square minus 24k. Now we know that for equal rules discriminant should be equal to 0. Therefore, 4k square minus 24k is equal to 0. This implies k minus 6 is equal to 0, dividing this equation by 4k. This implies k is equal to 6. Hence the given quadratic equation has equal rules if k is equal to 6. Therefore, k is equal to 6 is the answer for the given question. I hope the question is clear to you. Bye and take care.